document.write( "Question 526286: A freight train leaves a station at 5 A.M and travels North at 55 mph. At 6 A.M, a passanger train leaves on a parallel track and travels North at 60 mph. How long will it take the passanger train to overtake the freigh train?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #348456 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
Start with the distance equation: d=r*t
\n" ); document.write( ".
\n" ); document.write( "Train 1.
\n" ); document.write( "d = 55t
\n" ); document.write( ".
\n" ); document.write( "Train 2.
\n" ); document.write( "d = 60(t-1)
\n" ); document.write( ".
\n" ); document.write( "When Train 2 overtakes Train 1, they will have traveled the same distance.
\n" ); document.write( ".
\n" ); document.write( "d=d
\n" ); document.write( "so
\n" ); document.write( "55t = 60(t-1)
\n" ); document.write( "55t = 60t -60
\n" ); document.write( "-5t = -60
\n" ); document.write( "t = 12
\n" ); document.write( ".
\n" ); document.write( "Train 1 will have been traveling for 12 hr when Train 2 overtakes it.
\n" ); document.write( "Train 2 will have been traveling for 11 hr when it overtakes Train 1.
\n" ); document.write( ".
\n" ); document.write( "Check: Will they have traveled the same distance?
\n" ); document.write( "55*12 = 660
\n" ); document.write( "60*11 = 660
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

\n" );